What is the 8456th prime number?
The 8456th prime number is 87071. The next prime is 87083 (a gap of 12) and the one before is 87049.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 8456th one is 87071.
- 2
87071 is prime because no prime up to ā87071 ā 295.08 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8456th prime is close to 8456 Ć ln(8456) ā 76464, and here it is 87071.
- 4
87071 has no twin: neither 87069 nor 87073 is prime.
Primes around the 8456th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8453 | 87037 | 24 |
| 8454 | 87041 | 4 |
| 8455 | 87049 | 8 |
| 8456 | 87071 | 22 |
| 8457 | 87083 | 12 |
| 8458 | 87103 | 20 |
| 8459 | 87107 | 4 |
Questions
What is the 8456th prime number?
87071.
Which prime number is 87071?
87071 is the 8456th prime number.
What is the sum of the first 8456 primes?
348,169,911.